240 N. 75 mm 60 mm 150 N B D 125 N 50 mm |C 90 mm 300 N x 30mm

Q: 4. Replace the coplanar force system that acts on the casting with an equivalent force-couple…

A: 4) From the triangle, sinθ=35cosθ=45

Q: 1. Determine which of the force systems in (b) through (f) are equivalent to the force-couple system…

A: aFR−Resultant forceFR=10 lbNet moment=50 lb.fttanθ=34θ=37.860 bapplying vector law, we…

Q: Replace the three forces shown by an equivalent force-couple system at point A. If the forces are…

A: GIVEN DATA- A LOADED FRAME GIVEN  WE HAVE TO FIND FORCE AND COUPLE ACTING AT A

Q: (Q1] Replace the system shown below by a single force at B and a couple. 700 N 30 450 N 300 N 60 BY…

A:

Q: Q1: Four forces and a couple are acting on a rectangular plate as shown, replace the forces and the…

A: Calculating moment about-1M1=1000×0.6-(250 cos 45)1 + 100 M1=523.22 NM Net force in…

Q: Replace the two couples shown with a single equivalent couple, specifying its magnitude and the…

A: Understand that the couple in the plane ABCD with two couples P and Q. Thus, write the expression of…

Q: Given that P = 37 N, Q = 31 N and R = 56 N. Replace the three couples shown with a single equivalent…

A: Find the magnitude and direction of single equivalent couple.

Q: 1200 mm Replace the 150-N force with an equivalent force-couple system at A. 120'mm 35 150 N 40 mm…

A: Data given - Force P = 150 N At an angle of 35° from y axis

Q: To keep a door closed, a wooden stick is wedged between the floor and the doorknob. The stick exerts…

A: Write the expression of the position vector of point A. Write the expression of the position vector…

Q: 1. A machine component is subjected to the forces and couples shown. a- Determine the equivalent…

A: TO FIND: (A) Determine the equivalent force-couple system for the given loading condition. (B)  If…

Q: Determine whether the force-and-couple system shown can be reduced to a single equivalent force R .…

A: First reduced the given force system to a force -couple at the origin. And net force would be,

Q: Reduce the given loading system to a force-couple system at point A. Then determine the distance x…

A: Given,

Q: 2/86 If the resultant of the loads shown passes through point B, determine the equivalent…

A:

Q: Two 150-mm-diameter pulleys are mounted on line shaft AD. The belts at B and C lie in vertical…

A: The problem is solved by vector approach. The equivalent force at A will be the sum of the force…

Q: A 110-N force acting in a vertical plane parallel to the yz plane is applied to the 220-mm-long…

A: Given data as per the question The magnitude of force = 110 N

Q: Replace the three forces shown by an equivalent force-couple system at point A. If the forces are…

A:

Q: 360 mm 840 mm 852 mm 132 mm 732 Mm X 1200 Mm The lid ABCD of a storage bin is hinged AB and is held…

A:

Q: As an adjustable brace BC is used to bring a wall into plumb, the force-couple system shown is…

A:

Q: 3.1 Determine which of the force systems in (b) through (f) are equivalent to the force-couple…

A:

Q: Q8/ During a drilling operation, the small robotic device is subjected to an 800-N force at point C…

A: Consider the diagram shown below for the resolved component of the force.

Q: Replace the three forces shown by an equivalent force-couple system at point A. If the forces are…

A:

Q: A couple formed by two 975-N forces is applied to the pulley assembly shown. Determine an equivalent…

A:

Q: 36 kN 20 kN 94 kN•m 2 m 3 m 2 m A -C•-·-B

A:

Q: 2/76 Points A and B are the midpoints of the sides of the rectangle. Replace the given force F…

A:

Q: The indicated force-couple system is applied to a small shaft at the center of the plate. Replace…

A:

Q: 1) Replace the 800-lb force acting at point A by a force- couple system at (a) point 0 and tb) point…

A:

Q: As plastic bushings are inserted into a 60-mm-diameter cylindrical sheet metal enclosure, the…

A: For equivalence, ∑FC:…

Q: The force P has a magnitude of 250 N and is applied at the end C of a 500-mm rod AC attached to a…

A:

Q: Determine the magnitude of the gripping forces produced when two 300-N forces are applied as shown.

A: Free body diagram of the problem is shown in the figure. Member AC is connected to both members AB…

Q: 4 Replace the coplanar force system that acts on the casting with an equiva- lent force-couple…

A: from geometry : tanθ=34θ=36.87°90-θ=53.13°

Q: The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M1 if the…

A:

Q: The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M1 if the…

A:

Q: Q The forces F;= 500N and F= 600 N all of which act on point A of the bracket, are specified in two…

A:

Q: Replace the 150-N force by an equivalent force-couple system at A.

A: Given Data: The given force is F = 150 N. The coordinate of point D is ( 180 mm, -120 mm, 100 mm).…

Q: Two parallel 60-N forces are applied as shown to the corners A and C of a 200-mm square plate.…

A: Given data: The side of the square plate is, s=200 mm. The force acting, F=60 N. (a) Draw the…

Q: Q2: Reduce the system of forces and moment shown to (a) an equivalent two forces and couple system…

A:

Q: The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M, if the…

A:

Q: A 110-N force acting in a vertical plane parallel to the yz plane is applied to the 220-mm-long…

A: Given, the length of the handle,AB=220mm Force acting at B, FB=110N   Now, the vector form of force…

Q: 1. Determine the value of M1 if the system shown is equivalent to a single force acting at point C.…

A: Given dataX=1Y=6Z=0M2=3000kips

Q: To keep a door closed, a wooden stick is wedged between the floor and the doorknob. The stick exerts…

A:

Q: Replace the parallel force system acting on the plate by a resultant force ( kN ) and specify its…

A:

Q: For the force-couple system as shown, determine the following: Magnitude of the couple moment Mc so…

A:

Q: A 2.6-kip force is applied at point D of the cast-iron post shown.Replace that force with an…

A: Force couple At A D(6,12,0) E(6,0,-5) A(0,0,0)

Q: A 500-N force is applied to a bent plate as shown. Determine (a) an equivalent force-couple system…

A: Force acting in x direction is Fx=500sin30=250 N Force acting in y direction is Fy=500cos30=433 N…

Q: In using the bolt cutter shown, a worker applies two 300-N forces to the handles. Determine the…

A: Applying∑Fx=0SoBx=0taking moment about A∑MA=096By-24Q=096By=24QQ=4By...........1

Q: A 77-N force F1 and a 31- N.m couple M1 are applied to corner E of the bent plate shown. If F1 and…

A:

Q: The force-couple system shown acts on a trapezoidal plate. a. Determine the value of M; if the…

A:

Q: 1. A machine component is subjected to four forces and a couple shown below. (1) Replace the current…

A: a) Resultant force and moment are found using resolving the forces. b) M=Rd

Q: Replace the three forces shown by an equivalent force-couple system at a point A. If the forces are…

A: The equivalent moment at point A                  2401.2-1000.6-1600.6=132 N.m The equivalent force…

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.